Quantum vacuum interaction between two sine-Gordon kinks
M Bordag, JM Munoz-Castaneda - Journal of Physics A …, 2012 - iopscience.iop.org
M Bordag, JM Munoz-Castaneda
Journal of Physics A: Mathematical and Theoretical, 2012•iopscience.iop.orgWe calculate the quantum vacuum interaction energy between two kinks of the sine-Gordon
equation. Using the TGTG formula, the problem is reduced to the known formulas for
quantum fluctuations in the background of a single kink. This interaction induces an
attractive force between the kinks in parallel to the Casimir force between conducting
mirrors.
equation. Using the TGTG formula, the problem is reduced to the known formulas for
quantum fluctuations in the background of a single kink. This interaction induces an
attractive force between the kinks in parallel to the Casimir force between conducting
mirrors.
Abstract
We calculate the quantum vacuum interaction energy between two kinks of the sine-Gordon equation. Using the TGTG formula, the problem is reduced to the known formulas for quantum fluctuations in the background of a single kink. This interaction induces an attractive force between the kinks in parallel to the Casimir force between conducting mirrors.
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